- #1
jaredogden
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Homework Statement
In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which moves along a stationary bridge. The crane is traveling at a speed of 3 m/s when it is brought to a sudden stop. Determine the maximum horizontal distance through which the bucket will swing. (arm length 10m)
Homework Equations
KE = 1/2mv2
PE = mgz
Etot = KE + PE + U
The Attempt at a Solution
Since the bucket is traveling with a speed of 3 m/s and has no height E1 = 1/2mv2 and at the highest point the bucket will travel v = 0 m/s E2 = mgz
Therefore since E1 = E2 (law of conservation of energy)
1/2mv2 = mgz
1/2v2 = gz
1/2(3 m/s)2 = (9.81 m/s2)z
z = 0.4587 m
I'm not even sure if I did this the way my professor taught us, I'm just using thermo energy balance equations to be honest. I don't know if there is a way to make a triangle and solve for the x component, or just a complete different way to do this.